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3 years ago

2x+9 = 35 solve for x

Mathematics

1 answer:

Olenka [21]3 years ago

5 0

Answer:

x=13

Step-by-step explanation:

2x+9=35

2x=35-9

2x=26

x=26/2

x=13

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Step-by-step explanation:

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3 years ago

your basketball team wins a game by 13 points. the opposing team scores 72 points. explain how to find your teams score.

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3 years ago

Apply Gaussian quadrature with n = 4 to approximate integrate sin x^2dx from 1 to 5

maks197457 [2]

First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].

$x=2t+3\iff t=\dfrac x2-\dfrac32\implies2\mathrm dt=\mathrm dx$
$x=1\implies t=\dfrac{2-6}4=-1$
$x=5\implies t=\dfrac{10-6}4=1$

So,

$\displaystyle\int_{x=1}^{x=5}\sin x^2\,\mathrm dx=\displaystyle2\int_{t=-1}^{t=1}\sin(2t+3)^2\,\mathrm dt$

Let $f(t)=2\sin(2t+3)^2$ . With $n=4$ , we're looking for coefficients $c_i$ and nodes $x_i$ , with $1\le i\le4$ , such that

$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx c_1f(x_1)+\cdots+c_4f(x_4)$

You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).

Using the quadrature, we then have

$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.3749f(-0.8611)+0.6521f(-0.3400)+0.6521f(0.3400)+0.3749f-0.8611)$
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4 0

3 years ago

Help me this one out, pls?

Flura [38]

Answer:

∠ACD= 109°

Step-by-step explanation:

∠A=38

180- ∠A= ∠B+C

180-38= 2∠B( ∠B=∠C) ( angles opposite to equal sides are equal)

142=2∠B

∠B=71

∠ACD=∠A+∠B ( exterior angle property)

∠ACD= 38+ 71= 109°

4 0

3 years ago